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Finding the Fourth Proportional to 243,825.81, 365,883.17 and 110,704.07

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Solution

The fourth proportional to 243,825.81, 365,883.17 and 110,704.07 is: 166,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,825.81 : 365,883.17 = 110,704.07 : x
  2. Step 2: Convert to fraction form
    243,825.81/365,883.17 = 110,704.07/x
  3. Step 3: Cross multiply
    243,825.81x = 365,883.17 × 110,704.07
  4. Step 4: Simplify right side
    243,825.81x = 40,504,753,680.57
  5. Step 5: Solve for x
    x = 40,504,753,680.57/243,825.81
  6. Step 6: Final answer
    x = 166,121.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.